There is a way to solve for the interior angles of the polygon add up to, by using the expression: (Note: n being the side: (n - 2)180
solve for the 14 angles first. Plug in 14 for n
14 - 2 = 12
12 x 180 = 2160
All of the angles combined together = 2160°. Note that it is given to us that 13 of the angles = 2016°
Solve for the last angle. Set the last (14th) angle as x:
x + 2016 = 2160.
Isolate the x. Note the equal sign, what you do to one side, you do to the other. Subtract 2016 from both sides
x + 2016 (-2016) = 2160 (-2016)
x = 2160 - 2016
x = 144
Answer: The 14th angle must be 144°
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Answer:
The square root of 33 is 5.74456264654
Answer:
60
Step-by-step explanation
Okay, uh... this is gonna be confusing to explain.
So a hexagon's angles add up to 720. This means, we can find each angle's supplementary angle by subtracting each value we know away from the total.
So, we know the inside angle of angle 6 is 90.
So: 720-90=630
Now, typically, you would divide by the remaining angles, but we have basically 2 angles of different values since 1, 2, and 3 are equal, and 4 and 5 are equal.
However, we know that 1, 2, and 3 are 10 degrees less than 4 and 5. So if we "add" 10 degrees to each of those angles we get:
10*3=30
630-30=600
Now we made it as though each angle (1-5) is equal. So now we divide by 5.
600/5=120
This means the supplementary of angles 4 and 5 is 120, so we subtract that value from 180 since a straight angle is 180.
180-120=60
Now, to check this we reverse it.
(120*2)+(120*3)+(10*3)+(90)=
240+360+30+90=
600+30+90=
600+120=
720.
Um... I think this is it?? Your school is scary :o
Answer:
16
Step-by-step explanation:
First find the difference between each number of Blue Beads, 4. Then the difference between the number of Black Beads, 3. So, divide 12 by 3, 4. Lastly, multiply the 4 by the difference of Blue Beads, which is 4. 4 times 4 is 16